35249120787409 has 9 divisors (see below), whose sum is σ = 37444674974161. Its totient is φ = 33175548100480.

The previous prime is 35249120787371. The next prime is 35249120787427. The reversal of 35249120787409 is 90478702194253.

The square root of 35249120787409 is 5937097.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2628208380625 + 32620912406784 = 1621175^2 + 5711472^2 .

It is not a de Polignac number, because 35249120787409 - 2²⁷ = 35248986569681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35249120787109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100756029 + ... + 101105269.

Almost surely, 2^{35249120787409} is an apocalyptic number.

35249120787409 is the 5937097-th square number.

35249120787409 is the 2968549-th centered octagonal number.

It is an amenable number.

35249120787409 is a deficient number, since it is larger than the sum of its proper divisors (2195554186752).

35249120787409 is an frugal number, since it uses more digits than its factorization.

35249120787409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698516 (or 349258 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 35249120787409 in words is "thirty-five trillion, two hundred forty-nine billion, one hundred twenty million, seven hundred eighty-seven thousand, four hundred nine".